820058905 has 32 divisors (see below), whose sum is σ = 1093305600. Its totient is φ = 587676672.

The previous prime is 820058893. The next prime is 820058909. The reversal of 820058905 is 509850028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 820058905 - 2⁵ = 820058873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820058909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192357 + ... + 196573.

It is an arithmetic number, because the mean of its divisors is an integer number (34165800).

Almost surely, 2^820058905 is an apocalyptic number.

It is an amenable number.

820058905 is a deficient number, since it is larger than the sum of its proper divisors (273246695).

820058905 is a wasteful number, since it uses less digits than its factorization.

820058905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353.

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 820058905 is about 28636.6706339965. The cubic root of 820058905 is about 936.0125741761.

The spelling of 820058905 in words is "eight hundred twenty million, fifty-eight thousand, nine hundred five".